TARGET GOALS
1. Reminders Note-Taking (Laptop or Notebook) Use the Cornell Note Template
2. Reminders Whiteboard Usage - For Drills or basic
calculations to ensure your Math notebook is
always neat.
3. August 2 - Quiz 1 and first NB submission w/ATF
4. August 7 - CT 1 Chapter 1 Linear inequalities
5. Continuation: Solving Simple Linear Inequalities
RECAP CONCEPT OF AN INEQUALITY
Inequality Notations
READ WORKED
EXAMPLE 1 AND
ANSWER TRY IT
YOURSELF 1
TIY 1 Page 3 TB
Use an inequality to represent a relationship involving the
given variable in each of the following statements.
(a) The pH value, x, of a face cleanser is less than 7.
(b) The numbe of passengers, n, of a taxi does not exceed 4.
(c) The area, A squared meters, of a flat is greater than 89 m
squared
(d) The volume, V cm cubed, of juice in a can is at least 375
cm cubed
(e) The mass, m kg, of a car is more than 1100 kg.
(f) The height, h cm, of a basketball player is at least 1.9m
5 MINUTES ACTIVITY.
DO QUESTIONS 1 AND 2
ONLY OF THE ACTIVITIES 1
AND 2 ON PAGES 4 AND 5
BASIC PROPERTIES OF
INEQUALITIES
1. If a < b and b < c, then a < c.
2. For any real numbers a, b, and c:
a. if a < b, then a + c < b + c
b. if a < b, then a - c < b - c
c. if a > b, then a + c > b + c
d. if a > b, then a - c > b - c
BASIC PROPERTIES OF
INEQUALITIES
3. For any real numbers a, b, and c:
a. if a < b and c > 0, then ac < bc
b. if a < b, and c < 0then ac > bc
c. if a > b and c > 0, then ac > bc
d. if a > b and c < 0, then ac < bc
OPERATION
INEQUALITY SIGN
Add or subtract both sides by the same number
Unchanged
Multiply or divide both sides by the same positive number
Unchanged
Multiply or divide both sides by the same negative number
Reversed
3 MINUTES THINK PAIR
SHARE.
DO WORKED EXAMPLE 2
PAGE 6 ALL ITEMS
Worked Example 2 page 6
NOTE: a b
(a) a - (-2) ______ b - (-2)
(b) -3/5 a ______ -3/5 b
(c) -1.8a _______ -1.8b
10 minutes
CLASSWORK 1
Page 6 Practice Exercise
1.1
Questions 1 and 2 only
Solving Linear Inequalities on One
Variable
To solve an inequality in the variable x, we
have to find the range of values of x such
that the given inequality is TRUE. All the
values of x that satisfy the inequality are
the solutions of the inequality.
Worked Example 3 page 9
Solve each inequality and represent the solution on a number
line.